## On the approximation of the global extremum of a semi-Lipschitz function

AbstractIn this paper one obtains a sequential procedure for determining the global extremum of a semi-Lipschitz real-valued function defined on…

## On the Extensions Preserving the Shape of a Semi-Hölder Function

AbstractWe present some results concerning the extension of a semi-Hölder real-valued function defined on a subset of a quasi-metric space,…

## From uniform to statistical convergence of binomial-type operators

AbstractSequences of binomial operators introduced by using umbral calculus are investigated from the point of view of statistical convergence. This…

## Shift λ-Invariant Operators

AbstractThe present note is devoted to a generalization of the notion of shift invariant operators that we call it λ-invariant…

## On a class of approximation operators

AbstractIn this note we construct a class of approximation operators using polynomial sequences of binomial type. We compute the expression…

## Modifying an approximation process using non-Newtonian calculus

AbstractIn the present note we modify a linear positive Markov process of discrete type by using so called multiplicative calculus.…

## Linear positive operators constructed by using Beta-type bases

AbstractStarting from a discrete linear approximation process that has the ability to turn polynomials into polynomials of the same degree,…

## A stop over Jain operators and their generalizations

AbstractOn the last five decades the interest of the study of positive approximation processes have emerged with growing evidence. A…

## Approximation operators constructed by means of Sheffer sequences

Abstract In this paper we introduce a class of positive linear operators by using the “umbral calculus”, and we study…

## On an approximation operator and its Lipschitz constant

AbstractIn this note we consider an approximation operator of Kantorovich type in which expression appears a basic sequence for a…
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